Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(a) The MOD number of a counter is equal to the number of complete states that a

ID: 3573095 • Letter: #

Question

(a) The MOD number of a counter is equal to the number of complete states that a counter goes through before it recycles back to its starting state. To construct

a ripple counter with a MOD number X, it requires a minimum number of N FFs such that 2N ? X. What is the maximum MOD # of a counter constructed with 6

flip-flops?

(b) Counters with a MOD number larger than 16 can be created by cascading 4-bit binary counters. The MOD number is equal to the product of the individual

MOD numbers. For example, a MOD 80 counter can be implemented as shown in the following figure (general block diagram, all of the wiring is not shown).

What is the largest MOD counter that can be implemented by cascading two 4-bit binary counters together?

MOD 10 QD MOD 8

Explanation / Answer

a.Max mod=2^N=64 mod counter

b.for 16mod counter 4-flipflops is required for above 16mod we use cascade four bit flip-flops that gives the better result.